The balanced chemical equation for the reaction between sodium chloride (NaCl) and fluorine gas (F₂) to produce sodium fluoride (NaF) and chlorine gas (Cl₂) is:

2 NaCl + F₂ → 2 NaF + Cl₂

Here's how to balance the equation:

1. Identify the reactants and products:

* Reactants: NaCl and F₂

* Products: NaF and Cl₂

2. Count the atoms of each element on both sides of the equation:

* Left side (reactants): 2 Na, 2 Cl, 2 F

* Right side (products): 1 Na, 1 Cl, 2 F

3. Adjust the coefficients in front of each molecule to balance the number of atoms:

* Multiply NaCl by 2: This gives us 2 Na and 2 Cl on the left side.

* The equation is now balanced: 2 Na, 2 Cl, and 2 F on both sides.

Therefore, the balanced equation is 2 NaCl + F₂ → 2 NaF + Cl₂.